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Answer:
vertex = (1, 1 )
Step-by-step explanation:
Given the equation of a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
f(x) = 2x² - 4x + 3 ← is in standard form
with a = 2 and b = - 4 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{4}[/tex] = 1
Substitute x = 1 into f(x) for corresponding y- coordinate of vertex
f(1) = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1
vertex = (1, 1 )